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Finding the Fourth Proportional to 789.84, 1,089.96 and 458.28

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Solution

The fourth proportional to 789.84, 1,089.96 and 458.28 is: 632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.84 : 1,089.96 = 458.28 : x
  2. Step 2: Convert to fraction form
    789.84/1,089.96 = 458.28/x
  3. Step 3: Cross multiply
    789.84x = 1,089.96 × 458.28
  4. Step 4: Simplify right side
    789.84x = 499,506.87
  5. Step 5: Solve for x
    x = 499,506.87/789.84
  6. Step 6: Final answer
    x = 632.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.